How many two-digit numbers yield a remainder of 1 when divided by both 4 and 14?

A. 0B. 1C. 2D. 3E. 4

(D) Let’s use n to denote a two-digit number that fits the requirement in the question.

Since we are looking for a remainder of 1 when n is divided by 4 or 14, then (n – 1) must be divisible by both 4 and 14. All numbers divisible by both 4 and 14 must be divisible by their least common multiple, which is 28.

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